A thin rod with mass M-1.2 kg and a length L-0.24 m has a small ball of mass m-2 kg attached to one end. The arrangement is originally vertical and stationary with the ball at the top as shown in the diagram. The combination is free to move about a pivot at the bottom end. (a) Find the moment of inertia of the rod/ball combination about the pivoted end. (b) Find the center of mass of the rod/ball combination (c) If the combination starts to fall from rest, find its KE when the rod is horizontal. (d) Find the angular speed when the rod is horizontal. (e) Find the speed of the center of the ball when the rod is horizontal. m=2 kg Pivot M=1.2 kg L=0.24 m

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Chapter1: Units, Trigonometry. And Vectors
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A thin rod with mass M=1.2 kg and a length L-0.24 m has a small ball of
mass m=2 kg attached to one end. The arrangement is originally vertical
and stationary with the ball at the top as shown in the diagram.
The combination is free to move about a pivot at the bottom end.
(a) Find the moment of inertia of the rod/ball combination about t e pivoted end.
(b) Find the center of mass of the rod/ball combination
(c) If the combination starts to fall from rest, find its KE when the rod is horizontal.
(d) Find the angular speed when the rod is horizontal.
(e) Find the speed of the center of the ball
when the rod is horizontal.
O
m=2 kg
71
Pivot
M-1.2 kg
L=0.24 m
Transcribed Image Text:5/7 A thin rod with mass M=1.2 kg and a length L-0.24 m has a small ball of mass m=2 kg attached to one end. The arrangement is originally vertical and stationary with the ball at the top as shown in the diagram. The combination is free to move about a pivot at the bottom end. (a) Find the moment of inertia of the rod/ball combination about t e pivoted end. (b) Find the center of mass of the rod/ball combination (c) If the combination starts to fall from rest, find its KE when the rod is horizontal. (d) Find the angular speed when the rod is horizontal. (e) Find the speed of the center of the ball when the rod is horizontal. O m=2 kg 71 Pivot M-1.2 kg L=0.24 m
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